<h3>
Answer: C) Discriminant</h3>
The formula for the discriminant is
d = b^2 - 4ac
If d < 0, then there are no real number solutions
If d = 0, then you have exactly one real solution
If d > 0, then you have two different real number solutions
On the Cartesian plane in two dimensions, the quadrants are <span>I (+,+), II (−,+), III (−,−), and IV (+,−). The numbering, starting in the upper right corner, goes counter-clockwise.</span>
Rx + h = sx - k Take all with x to the LHS
Rx - sx = -k - h
x(R - s) = - k -h
x = (-k - h) / (R - s). Multiply top and bottom by -1.
x = (k + h) / (s - R)
Using a calculator, the correlation coefficient is of 0.7649. Since the correlation is greater than 0.6, there is strong correlation.
<h3>What is a correlation coefficient?</h3>
- It is an index that measures correlation between two variables, assuming values between -1 and 1.
- If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
- If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.
Using a calculator, we insert the points (x,y) to find the coefficient. In this problem, the points are given as follows:
(1, 5), (4, 8), (8, 3), (13, 10), (19, 13)
The coefficient is of 0.7649. Since the correlation is greater than 0.6, there is strong correlation.
More can be learned about correlation coefficients at brainly.com/question/25815006
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Answer:
Step-by-step explanation:
1 ) Y∝ 1 / X
Y = k / X
Y = 9 , X = -5
Putting the values in the relation above
9 = k / - 5
k = -45
Y = - 45 / X
Put Y = - 6
- 6 = - 45 / X
X = - 45 / -6
= 7.5
2 )
Luke and Nora can peel 12 carrots in 5 minutes
in 1 minute Luke and Nora can peel 12 / 5 carrot
in 1 minute Luke alone can peel 12/ 11 carrot .
In 1 minute Nora alone will peel (12 / 5 - 12/ 11 ) carrot
(12 / 5 - 12 / 11 )
= 2.4 - 1.1
= 1.3 carrot
In 1 minute Nora alone will peel 1.3 carrot
1.3 carrot in 1 minute
8 carrot in 8 / 1.3 minute
= 6.15 minutes.
In 1 minute Nora alone will peel 8 carrot in 6.15 minutes working alone.
